Horizontal decompositions, I
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866916448121651200 |
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| author | Lisca, Paolo Parma, Andrea |
| author_facet | Lisca, Paolo Parma, Andrea |
| contents | We show that every smooth, closed, orientable 4-manifold X admits a special kind of handlebody decomposition that we call horizontal. We classify the closed 4-manifolds with the simplest horizontal decompositions and we describe all such decompositions of CP^2, showing that they give rise to infinitely many of the known embeddings of rational homology balls in the complex projective plane. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_00482 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Horizontal decompositions, I Lisca, Paolo Parma, Andrea Geometric Topology 57K40 (Primary), 57R40 (Secondary) We show that every smooth, closed, orientable 4-manifold X admits a special kind of handlebody decomposition that we call horizontal. We classify the closed 4-manifolds with the simplest horizontal decompositions and we describe all such decompositions of CP^2, showing that they give rise to infinitely many of the known embeddings of rational homology balls in the complex projective plane. |
| title | Horizontal decompositions, I |
| topic | Geometric Topology 57K40 (Primary), 57R40 (Secondary) |
| url | https://arxiv.org/abs/2205.00482 |